Mendeley Climate Change Library

83
83

Jul 6, 2019
07/19

by
Eugénio Rodrigues; Álvaro Gomes; Adélio Rodrigues Gaspar; Carlos Henggeler Antunes

texts

#
eye 83

#
favorite 0

#
comment 0

This paper presents a review on the application of neural networks for the estimation, forecasting, monitoring, and classification of exogenous environmental variables that affect the performance, salubrity, and security of cities, buildings, and infrastructures. The forecast of these variables allows to explore renewable energy and water resources, to prevent potentially hazardous construction locations, and to find the healthiest places, thus promoting a more sustainable future. Five research...

Topics: Atmospheric variables, Climate change, Geologic variables, Hydrologic variables, Neural network,...

76
76

Sep 20, 2016
09/16

by
Ostrowski, A. M.

texts

#
eye 76

#
favorite 0

#
comment 0

Topics: Mathematics, Variables

64
64

Sep 20, 2016
09/16

by
Newman, M.

texts

#
eye 64

#
favorite 0

#
comment 0

Typescript

Topic: Variables (Mathematics)

1,232
1.2K

Aug 22, 2008
08/08

by
White, William L. (William Leo); Lin, Chi-Yuan, 1935-

texts

#
eye 1,232

#
favorite 0

#
comment 0

Bibliography: leaf 19

Topic: Dummy variables

47
47

Dec 23, 2021
12/21

by
Rogawski, Jonathan David

texts

#
eye 47

#
favorite 1

#
comment 0

110 p. : 27 cm

Topics: Calculus -- Textbooks, Variables (Mathematics) -- Textbooks, Calculus, Variables (Mathematics)

458
458

Feb 19, 2008
02/08

by
Pierpont, James, -1938

texts

#
eye 458

#
favorite 1

#
comment 0

Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

Topics: Functions of real variables, Functions of real variables

Source: http://books.google.com/books?id=aSoLAAAAYAAJ&oe=UTF-8

11
11

Apr 6, 2022
04/22

by
Stewart, James, 1941- auteur

texts

#
eye 11

#
favorite 1

#
comment 0

xii, 461, 10 pages : 27 cm

Topics: Calculus, Integral, Variables (Mathematics), Calcul intégral, Variables (Mathématiques)

364
364

Apr 8, 2008
04/08

by
Burkhardt, Heinrich, 1861-1914

texts

#
eye 364

#
favorite 0

#
comment 0

Book digitized by Google from the library of the New York Public Library and uploaded to the Internet Archive by user tpb.

Topics: Functions of complex variables, Functions of complex variables

Source: http://books.google.com/books?id=IIAAAAAAMAAJ&oe=UTF-8

632
632

Apr 8, 2008
04/08

by
Burkhardt, Heinrich, 1861-1914

texts

#
eye 632

#
favorite 0

#
comment 0

Book digitized by Google and uploaded to the Internet Archive by user tpb.

Topics: Functions of complex variables, Functions of complex variables

Source: http://books.google.com/books?id=v8QKAAAAIAAJ&oe=UTF-8

81
81

Jul 1, 2019
07/19

by
Osgood, William F. (William Fogg), 1864-1943

texts

#
eye 81

#
favorite 1

#
comment 0

xii, 407 p. ; 21 cm

Topics: Functions of complex variables, Functions of real variables

6
6.0

Jun 30, 2018
06/18

by
Luis Bernal-González

texts

#
eye 6

#
favorite 0

#
comment 0

In this paper, the linear structure of the family $H_e(G)$ of holomorphic functions in a domain $G$ of the complex plane that are not analytically continuable beyond the boundary of $G$ is analyzed. We prove that $H_e(G)$ contains, except for zero, a dense algebra; and, under appropriate conditions, the subfamily of $H_e(G)$ consisting of boundary-regular functions contains dense vector spaces with maximal dimension, as well as infinite dimensional closed vector spaces and large algebras. The...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1410.5721

41
41

Jun 30, 2018
06/18

by
Halit Orhan; İbrahim Aktaş

texts

#
eye 41

#
favorite 0

#
comment 0

In the present investigation, by applying two different normalizations of the Jackson and Hahn-Exton $q$-Bessel functions tight lower and upper bounds for the radii of convexity of the same functions are obtained. In addition, it was shown that these radii obtained are solutions of some transcendental equations. The known Euler-Rayleigh inequalities are intensively used in the proof of main results. Also, the Laguerre-P\'olya class of real entire functions plays an important role in this work.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1702.04549

6
6.0

Apr 5, 2022
04/22

by
Blank, Brian E., 1953-

texts

#
eye 6

#
favorite 0

#
comment 0

xix, 771 p. : 26 cm

Topics: Calculus, Variables (Mathematics)

4
4.0

Jun 30, 2018
06/18

by
Kuldeep Singh Charak; Virender Singh

texts

#
eye 4

#
favorite 0

#
comment 0

In this paper, we prove two normality criteria for a family of meromorphic functions. The first criterion extends a result of Fang and Zalcman[Normal families and shared values of meromorphic functions II, Comput. Methods Funct. Theory, 1(2001), 289 - 299] to a bigger class of differential polynomials whereas the second one leads to some counterexamples to the converse of the Bloch's principle.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1412.8271

11
11

Jun 27, 2018
06/18

by
Masahiko Ito; Masatoshi Noumi

texts

#
eye 11

#
favorite 0

#
comment 0

We give an alternative proof of the evaluation formula for the elliptic Selberg integral of type $BC_n$ as an application of the fundamental $BC_n$-invariants.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1504.07317

17
17

Jun 28, 2018
06/18

by
Trevor Richards; Malik Younsi

texts

#
eye 17

#
favorite 0

#
comment 0

We prove that every function that is meromorphic on the closure of an analytic Jordan domain and sufficiently well-behaved on the boundary is conformally equivalent to a rational map whose degree is smallest possible. We also show that the minimality of the degree fails in general without the boundary assumptions. As an application, we generalize a theorem of Ebenfelt, Khavinson and Shapiro by characterizing fingerprints of polynomial pseudo-lemniscates.

Topics: Mathematics, Complex Variables

Source: http://arxiv.org/abs/1506.05061

15
15

Jun 28, 2018
06/18

by
Beyaz Basak Koca; Sibel Sahin

texts

#
eye 15

#
favorite 0

#
comment 0

The invariant subspaces of the Hardy space on $H^2(\mathbb{D})$ of the unit disc are very well known however in several variables the structure of the invariant subspaces of the classical Hardy spaces is not yet fully understood. In this study we examine the invariant subspace problem for Poletsky-Stessin Hardy spaces which is a natural generalization of the classical Hardy spaces to hyperconvex domains in $\mathbb{C}^n$. We showed that not all invariant subspaces of...

Topics: Mathematics, Complex Variables

Source: http://arxiv.org/abs/1506.07538

96
96

Jun 28, 2018
06/18

by
John Erik Fornaess

texts

#
eye 96

#
favorite 0

#
comment 0

These are notes from a basic course in Several Complex Variables

Topics: Mathematics, Complex Variables

Source: http://arxiv.org/abs/1507.00562

13
13

Jun 28, 2018
06/18

by
Giuseppe Della Sala; Bernhard Lamel; Michael Reiter

texts

#
eye 13

#
favorite 0

#
comment 0

We study local rigidity properties of holomorphic embeddings of real hypersurfaces in $\mathbb C^2$ into real hypersurfaces in $\mathbb C^3$ and show that infinitesimal conditions imply actual local rigidity in a number of (important) cases. We use this to show that generic embeddings into a hyperquadric in $\mathbb C^3$ are locally rigid.

Topics: Mathematics, Complex Variables

Source: http://arxiv.org/abs/1507.08842

9
9.0

Jun 30, 2018
06/18

by
Nicola Arcozzi; Giulia Sarfatti

texts

#
eye 9

#
favorite 0

#
comment 0

We introduce and study Hankel operators defined on the Hardy space of regular functions of a quaternionic variable. Theorems analogous to those of Nehari anc C. Fefferman are proved.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1407.8479

18
18

Jun 26, 2018
06/18

by
Seyed Ruhallah Ahmadi; Bruce Gilligan

texts

#
eye 18

#
favorite 0

#
comment 0

Suppose $G$ is a connected complex Lie group and $H$ is a closed complex subgroup such that $X := G/H$ is Kaehler and the codimension of the top non-vanishing homology group of $X$ with coefficients in $\mathbb Z_2$ is less than or equal to two. We show that $X$ is biholomorphic to a complex homogeneous manifold constructed using well-known basic building blocks, i.e., $\mathbb C, \mathbb C^*$, Cousin groups, and flag manifolds.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1501.07558

18
18

Jun 26, 2018
06/18

by
Jeffery D. McNeal; Dror Varolin

texts

#
eye 18

#
favorite 0

#
comment 0

This is a survey article about $L^2$ estimates for the $\bar \partial$ operator. After a review of the basic approach that has come to be called the "Bochner-Kodaira Technique", the focus is on twisted techniques and their applications to estimates for $\bar \partial$, to $L^2$ extension theorems, and to other problems in complex analysis and geometry, including invariant metric estimates and the $\bar \partial$-Neumann Problem.

Topics: Mathematics, Complex Variables

Source: http://arxiv.org/abs/1502.08047

20
20

Jun 27, 2018
06/18

by
Jens Christensen; Karlheinz Gröchenig; Gestur Ólafsson

texts

#
eye 20

#
favorite 0

#
comment 0

We derive atomic decompositions and frames for weighted Bergman spaces of several complex variables on the unit ball in the spirit of Coifman, Rochberg, and Luecking. In contrast to our predecessors, we use group theoretic methods, in particular the representation theory of the discrete series of $SU(n,1)$ and its covering groups. One of the benefits is a much larger class of admissible

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1504.00381

16
16

Jun 27, 2018
06/18

by
Rasul Shafikov; Alexandre Sukhov

texts

#
eye 16

#
favorite 0

#
comment 0

We obtain results on the existence of complex discs in plurisubharmonically convex hulls of Lagrangian and totally real immersions to Stein manifolds.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1504.04518

8
8.0

Jun 30, 2018
06/18

by
Per Ahag; Urban Cegrell; Pham Hoang Hiep

texts

#
eye 8

#
favorite 0

#
comment 0

In this article we address the question whether the complex Monge-Amp\`{e}re equation is solvable for measures with large singular part. We prove that under some conditions there are no solution when the right-hand side is carried by a smooth subvariety in $\CEP{n}$ of dimension $k

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1403.7412

7
7.0

Jun 30, 2018
06/18

by
Lionel Darondeau

texts

#
eye 7

#
favorite 0

#
comment 0

Low pole order frames of slanted vector fields are constructed on the space of vertical k-jets of the universal family of complete intersections in $\mathbb{P}^n$ and, adapting the arguments, low pole order frames of slanted vector fields are also constructed on the space of vertical logarithmic k-jets along the universal family of projective hypersurfaces in $\mathbb{P}^n$ with several irreducible smooth components. Both the pole order (here $=5k-2$) and the determination of the locus where...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1404.0212

6
6.0

Jun 30, 2018
06/18

by
Robert D. Bates

texts

#
eye 6

#
favorite 0

#
comment 0

We consider hyperbolicity preserving operators with respect to a new linear operator representation on $\mathbb{R}[x]$. In essence, we demonstrate that every Hermite and Laguerre multiplier sequence can be diagonalized into a sum of hyperbolicity preserving operators, where each of the summands forms a classical multiplier sequence. Interestingly, this does not work for other orthogonal bases; for example, this property fails for the Legendre basis. We establish many new formulas concerning the...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1404.1631

71
71

Jun 30, 2018
06/18

by
Jaikrishnan Janardhanan

texts

#
eye 71

#
favorite 0

#
comment 0

We extend a well-known result, about the unit ball, by H. Alexander to a class of balanced domains in $\mathbb{C}^n, \ n > 1$. Specifically: we prove that any proper holomorphic self-map of a certain type of balanced, finite-type domain in $\mathbb{C}^n, \ n > 1$, is an automorphism. The main novelty of our proof is the use of a recent result of Opshtein on the behaviour of the iterates of holomorphic self-maps of a certain class of domains. We use Opshtein's theorem, together with the...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1404.4716

5
5.0

Jun 30, 2018
06/18

by
Emmanuel Fricain; Andreas Hartmann; William T. Ross

texts

#
eye 5

#
favorite 0

#
comment 0

In this paper we give an explicit description of de Branges-Rovnyak spaces $\HH(b)$ when $b$ is of the form $q^{r}$, where $q$ is a rational outer function in the closed unit ball of $H^{\infty}$ and $r$ is a positive number.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1405.2323

6
6.0

Jun 30, 2018
06/18

by
Christoph Böhm; Wolfgang Lauf

texts

#
eye 6

#
favorite 0

#
comment 0

We give a generalization of the Komatu-Loewner equation to multiple slits. Therefore, we consider an $n$-connected circular slit disk $\Omega$ as our initial domain minus $m\in \mathbb{N}$ disjoint, simple and continuous curves that grow from the outer boundary $\partial \mathbb{D}$ of $\Omega$ into the interior. Consequently we get a decreasing family $(\Omega_t)_{t\in[0,T]}$ of domains with $\Omega_0=\Omega$. We will prove that the corresponding Riemann mapping functions $g_t$ from $\Omega_t$...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1405.2463

5
5.0

Jun 30, 2018
06/18

by
Sorin G. Gal; Irene Sabadini

texts

#
eye 5

#
favorite 0

#
comment 0

In this paper we obtain several extensions to the quaternionic setting of some results concerning the approximation by polynomials of functions continuous on a compact set and holomorphic in its interior. The results include approximation on compact starlike sets and compact axially symmetric sets. The cases of some concrete particular sets are described in details, including quantitative estimates too.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1406.5516

5
5.0

Jun 30, 2018
06/18

by
M. El Amrani; M. Granger; J. -J. Loeb; L. Tan

texts

#
eye 5

#
favorite 0

#
comment 0

In a work in 1992, Lyzzaik studies local properties of light harmonic mappings. More precisely, he classifies their critical points and accordingly studies their topological and geometrical behaviours. We will focus our study on smooth critical points of light harmonic maps. We will establish several relationships between miscellaneous local invariants, and show how to connect them to Lyzzaik's models. With a crucial use of Milnor fibration theory, we get a fundamental and yet quite unexpected...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1407.3403

6
6.0

Jun 28, 2018
06/18

by
Sergey Yu. Graf; Saminathan Ponnusamy; Victor V. Starkov

texts

#
eye 6

#
favorite 0

#
comment 0

In this paper, we obtain a new characterization for univalent harmonic mappings and obtain a structural formula for the associated function which defines the analytic $\Phi$-like functions in the unit disk. The new criterion stated in this article for the injectivity of harmonic mappings implies the well-known results of Kas'yanyuk \cite{Kas59} and Brickman \cite{Brick73} for analytic functions, but with a simpler proof than theirs. A number of consequences of the characterization, and examples...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1510.04886

5
5.0

Jun 28, 2018
06/18

by
Claudio Meneses

texts

#
eye 5

#
favorite 0

#
comment 0

For a compact real form $U$ of a complex simple group $G$, and an irreducible representation $\rho:\Gamma \to U$ of a Fuchsian group of the first kind $\Gamma$, it is shown that the classical isomorphism of Shimura, for the periods of a cusp form of weight 2 with values in $\mathfrak{g}$ and the representation $\textrm{Ad}\,\rho:\Gamma\to\textrm{Aut}\,\mathfrak{g}$, can be interpreted as the differential at a point of the zero section, for a natural map from the cotangent bundle of the moduli...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1511.00747

13
13

Jun 28, 2018
06/18

by
A. Banerjee; S. K. Datta; Md. A. Hoque

texts

#
eye 13

#
favorite 0

#
comment 0

In this paper we examine the existence of bicomplexified inverse Fourier transform as an extension of its complexified inverse version within the region of convergence of bicomplex Fourier transform. In this paper we use the idempotent representation of bicomplex-valued functions as projections on the auxiliary complex spaces of the components of bicomplex numbers along two orthogonal,idempotent hyperbolic directions.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1511.01213

6
6.0

Jun 28, 2018
06/18

by
Mohamad Charabati

texts

#
eye 6

#
favorite 0

#
comment 0

We study H\"older continuity of solutions to the Dirichlet problem for measures having density in $L^p$, $p>1$, with respect to Hausdorff-Riesz measures of order $2n-2+\epsilon$ for $0

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1511.01858

6
6.0

Jun 28, 2018
06/18

by
Mehmet Celik; Yunus E. Zeytuncu

texts

#
eye 6

#
favorite 0

#
comment 0

On complete pseudoconvex Reinhardt domains in $\mathbb{C}^2$, we show that there is no nonzero Hankel operator with an anti-holomorphic symbol that is Hilbert-Schmidt. We also present examples of unbounded non-pseudoconvex domains that admit nonzero Hilbert-Schmidt Hankel operators with anti-holomorphic symbols.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1511.04799

53
53

Jun 28, 2018
06/18

by
Nikolai Nikolov

texts

#
eye 53

#
favorite 0

#
comment 0

It is shown that a lower bound of the Kobayashi metric of convex domains in C^n does not hold for non-convex domains.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1512.05524

7
7.0

Jun 28, 2018
06/18

by
Nina Zorboska

texts

#
eye 7

#
favorite 0

#
comment 0

We give a slight generalization of the characterization of finite Blaschke products given in a previous paper. The characterization uses the boundary behaviour of a weighted local hyperbolic distortion of an analytic self-map of the unit disk.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1512.06911

38
38

Jun 29, 2018
06/18

by
G. P. Balakumar

texts

#
eye 38

#
favorite 0

#
comment 0

The purpose of this article is to provide an exposition of domains of convergence of power series of several complex variables without recourse to relatively advanced notions of convexity.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1601.00274

5
5.0

Jun 29, 2018
06/18

by
Zhenghua Xu; Xieping Wang

texts

#
eye 5

#
favorite 0

#
comment 0

In this paper we prove two Bloch type theorems for quaternionic slice regular functions. We first discuss the injective and covering properties of some classes of slice regular functions from slice regular Bloch spaces and slice regular Bergman spaces, respectively. And then we show that there exits a universal ball contained in the image of the open unit ball $\mathbb{B}$ in quaternions $\mathbb{H}$ through the slice regular rotation $\widetilde{f}_{u}$ of each slice regular function...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1601.02338

6
6.0

Jun 28, 2018
06/18

by
Anton Baranov; Andreas Hartmann; Karim Kellay

texts

#
eye 6

#
favorite 0

#
comment 0

We study two geometric properties of reproducing kernels in model spaces $K\_\theta$where $\theta$ is an inner function in the disc: overcompleteness and existence of uniformly minimalsystems of reproducing kernels which do not contain Riesz basic sequences. Both of these properties are related to the notion of the Ahern--Clark point. It is shown that "uniformly minimal non-Riesz"$ $ sequences of reproducing kernelsexist near each Ahern--Clark point which is not an analyticity point...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1509.09077

5
5.0

Jun 28, 2018
06/18

by
Arthur A. Danielyan

texts

#
eye 5

#
favorite 0

#
comment 0

The purpose of this paper is to show that the Rudin-Carleson interpolation theorem is a direct corollary of Fatou's much older interpolation theorem (of 1906).

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1510.01410

6
6.0

Jun 28, 2018
06/18

by
Yik-Man Chiang; Xudan Luo

texts

#
eye 6

#
favorite 0

#
comment 0

By extending the idea of a difference operator with a fixed step to varying-steps difference operators, we have established a difference Nevanlinna theory for meromorphic functions with the steps tending to zero (vanishing period) and a difference Nevanlinna theory for finite order meromorphic functions with the steps tending to infinity (infinite period) in this paper. We can recover the classical little Picard theorem from the vanishing period theory, but we require additional finite order...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1510.02576

5
5.0

Jun 28, 2018
06/18

by
Lê Dũng Tráng; Aurélio Menegon Neto

texts

#
eye 5

#
favorite 0

#
comment 0

In this paper we give a detailed proof that the Milnor fiber $X_t$ of an analytic complex isolated singularity function defined on a reduced $n$-equidimensional analytic complex space $X$ is a regular neighborhood of a polyhedron $P_t \subset X_t$ of real dimension $n-1$. Moreover, we describe the degeneration of $X_t$ onto the special fiber $X_0$, by giving a continuous collapsing map $\Psi_t: X_t \to X_0$ which sends $P_t$ to $\{0\}$ and which restricts to a homeomorphism $X_t \backslash P_t...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1511.06812

6
6.0

Jun 28, 2018
06/18

by
Ni Li; Ming-Sheng Liu

texts

#
eye 6

#
favorite 0

#
comment 0

In this paper, we first establish several general sufficient conditions for the biholomorphic convex mappings on the bounded convex balanced domain $D_{p}^n(p_{j}\geq 2,j=1,\cdots,n)$ in $C^{n}$, which extend some related results of earlier authors. From these, some concrete examples of biholomorphic convex mappings on $D_{p}^n$ are also provided.

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1511.06946

5
5.0

Jun 28, 2018
06/18

by
Xieping Wang

texts

#
eye 5

#
favorite 0

#
comment 0

The purpose of this paper is twofold. One is to enrich from a geometrical point of view the theory of octonionic slice regular functions. We first prove a boundary Schwarz lemma for slice regular self-mappings of the open unit ball of the octonionic space. As applications, we obtain two Landau-Toeplitz type theorems for slice regular functions with respect to regular diameter and slice diameter respectively, together with a Cauchy type estimate. Along with these results, we introduce some new...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1512.01414

8
8.0

Jun 29, 2018
06/18

by
Tingbin Cao; Risto Korhonen

texts

#
eye 8

#
favorite 0

#
comment 0

Let $c\in \mathbb{C}^{m},$ $f:\mathbb{C}^{m}\rightarrow\mathbb{P}^{n}(\mathbb{C})$ be a linearly nondegenerate meromorphic mapping over the field $\mathcal{P}_{c}$ of $c$-periodic meromorphic functions in $\mathbb{C}^{m}$, and let $H_{j}$ $(1\leq j\leq q)$ be $q(>2N-n+1)$ hyperplanes in $N$-subgeneral position of $\mathbb{P}^{n}(\mathbb{C}).$ We prove a new version of the second main theorem for meromorphic mappings of hyperorder strictly less than one without truncated multiplicity by...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1601.05716

6
6.0

Jun 30, 2018
06/18

by
Sibel Sahin

texts

#
eye 6

#
favorite 0

#
comment 0

We study Poletsky-Stessin Hardy spaces on complex ellipsoids in C^n. Different from one variable case, classical Hardy spaces are strictly contained in Poletsky-Stessin Hardy spaces on complex ellipsoids so boundary values are not automatically obtained in this case. We have showed that functions belonging to Poletsky-Stessin Hardy spaces have boundary values and they can be approached through admissible approach regions in the complex ellipsoid case. Moreover, we have obtained that polynomials...

Topics: Complex Variables, Mathematics

Source: http://arxiv.org/abs/1403.2506